Finding the Third Proportional to 127,509,944,008 and 279,040,076,396
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Solution
The third proportional to 127,509,944,008 and 279,040,076,396 is: 610,645,427,231.94
Step by Step Solution
- Step 1: Write the proportion equation
127,509,944,008 : 279,040,076,396 = 279,040,076,396 : x - Step 2: Convert to fraction form
127,509,944,008/279,040,076,396 = 279,040,076,396/x - Step 3: Cross multiply
127,509,944,008x = 279,040,076,396 × 279,040,076,396 - Step 4: Simplify right side
127,509,944,008x = 77,863,364,235,085,513,490,432 - Step 5: Solve for x
x = 77,863,364,235,085,513,490,432/127,509,944,008 - Step 6: Final answer
x = 610,645,427,231.94
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.